Hotel
This hotel offers a shuttle service that will take you to and from the wedding venue. You will also get a discounted rate by booking through the link below -- click on the word "View". Make sure to book ahead, as it fills up fast!
Flight
If I were you, I'd fly into Austin-Bergstrom International (AUS)! It's only 24 minutes from the wedding venue (give or take some traffic), with tons of great places to stay in between, including the hotels listed on this page. You can also fly into San Antonio (SAT) and drive to Kyle, but that might take you a bit more time.
House Or Rental
If you're not sold on staying at the lovely Homewood Suites, consider looking up some options on Airbnb! There are quite a few affordable yet accommodating options.